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IMA Journal of Applied Mathematics Advance Access originally published online on August 4, 2006
IMA Journal of Applied Mathematics 2006 71(5):692-714; doi:10.1093/imamat/hxl011
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© The Author 2006. Published by Oxford University Press on behalf of the Institute of Mathematics and its Applications. All rights reserved.

Geometric effects on surface roughness in electrodeposition

Q. BuAli, L. E. Johns and R. Narayanan**

Department of Chemical Engineering, University of Florida, Gainesville, FL 32611, USA

** Email: ranga{at}ufl.edu

Our aim is to understand the early stages of roughness growth in electrodeposition. We present a study of the branching of steady planar electrode surfaces to steady non-planar electrode surfaces as the voltage imposed at a cathode is decreased through its critical value. We aim to discover the type of branching and to learn whether or not the new branches can be detected by measuring the current. The cross-sectional shape of the electrode makes a difference. Circular electrodes lead to transcritical branching; ordinarily, rectangular electrodes lead to a pitchfork, sometimes forward and sometimes backward.

Keywords: electrodeposition; surface roughness; stability; branching; non-linear.

Received on 5 May 2005. accepted on 17 March 2006.


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